Finding the Third Proportional to 89,048 and 138,678

Step by Step Solution

1. Step 1: Write the proportion equation
   89,048 : 138,678 = 138,678 : x
2. Step 2: Convert to fraction form
   89,048/138,678 = 138,678/x
3. Step 3: Cross multiply
   89,048x = 138,678 × 138,678
4. Step 4: Simplify right side
   89,048x = 19,231,587,684
5. Step 5: Solve for x
   x = 19,231,587,684/89,048
6. Step 6: Final answer
   x = 215,968.78